0 reads0 ratings0 helpful
On (A={1,2,3,4}), (R={(a,b):a+b\equiv 0 \pmod{3}}). Is (R) symmetric?समुच्चय (A={1,2,3,4}) पर (R={(a,b):a+b\equiv 0 \pmod{3}}) है। क्या (R) सममित है?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: Yesहाँ
Step 1: If (a+b\equiv 0 \pmod{3}), then (b+a\equiv 0 \pmod{3}) also holds. Step 2: Changing the order of addition does not change the remainder. Step 3: Modular conditions based on sums are usually symmetric.चरण 1: यदि (a+b\equiv 0 \pmod{3}), तो (b+a\equiv 0 \pmod{3}) भी होगा। चरण 2: योग का क्रम बदलने से अवशेष नहीं बदलता। चरण 3: मापांक में योग वाली शर्तें सामान्यतः सममित होती हैं।
Student feedback
Was this question useful?
Was this question useful?
👍 0 Helpful 👎 0 Not helpful
Difficulty
Easy0%
Medium0%
Hard0%
Was the explanation clear?
Yes 0% No 0%
0 responsesStudent Reviews
No published reviews yet.
